2 out of 3
Yeah, in order to fight it, you'll have to go to the state you got it in. I don't know if you can get a lawyer to fight it for you if you're going for the PJC. On the other hand, you may be happy enough to just plead it down to a non-moving violation and pay the fine: it's still expensive, but there won't be any points on your license for a non-moving violation.
There's a good trick to avoid speed traps when on road trips: let a rabbit run ahead of you to flush the foxes from the brush. On a trip a few weeks ago, I hit a part of West Virginia that is rife with speed traps. I allowed another out-of-state driver (from Kansas) to pass me and then paced Kansas at about 5 mph slower. Sure as strawberries, within five miles Smokey tagged Kansas as he came over a rise. I saw Kansas hit his brakes (giving me time to brake myself), but it was too late for him. All I had to do was pull over to the right hand lane to let the cop clear to get get Kansas and I was on my way. I did it again with a car from New York, but we didn't pass any other traps.